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Finding the Fourth Proportional to 15,676.84, 23,459.12 and 13,575.75

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Solution

The fourth proportional to 15,676.84, 23,459.12 and 13,575.75 is: 20,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.84 : 23,459.12 = 13,575.75 : x
  2. Step 2: Convert to fraction form
    15,676.84/23,459.12 = 13,575.75/x
  3. Step 3: Cross multiply
    15,676.84x = 23,459.12 × 13,575.75
  4. Step 4: Simplify right side
    15,676.84x = 318,475,148.34
  5. Step 5: Solve for x
    x = 318,475,148.34/15,676.84
  6. Step 6: Final answer
    x = 20,315.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.